Following are digitized figures from the text for use in compounding¶
Finite height¶
$\beta$ for finite height effects can be found using the following plot. Note that the finite height plot also includes effects of finite width for a centered crack. If your crack is not centered, you will need to subtract this effect.
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#this code is just to load the necessary libraries
import plotly.graph_objects as go
#load saved data
import pickle
#this is to show images from text
from IPython.display import Image
Image(filename='height.jpg',width=200)
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#load saved plot.ly figures
with open('../plotlyfigs/compounding.pickle','rb') as f:
fig=pickle.load(f)
#plot first figure
test = go.Figure(fig[0])
test.show(config={"showLink": True},renderer="notebook")
Offset internal crack¶
$\beta$ for offset internal cracks can be found using the following plot. Note that there are two $\beta$ values, one near the edge, (Tip A), and the other away from the edge (Tip B).
You may have to refer to this chart twice to consider the effects of two edges.
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Image(filename='edge.jpg',width=200)
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test = go.Figure(fig[1])
test.show(config={"showLink": True},renderer="notebook")
Cracks near a hole¶
For cracks near a hole, the following two charts can be used to find $\beta$. Note that you will find one $\beta$ per hole per crack tip. Tip A refers to the tip farthest from the hole, Tip B is the tip closest to the hole
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Image(filename='hole.jpg',width=400)
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test = go.Figure(fig[2])
test.show(config={"showLink": True},renderer="notebook")
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test = go.Figure(fig[3])
test.show(config={"showLink": True},renderer="notebook")
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